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Finding the Fourth Proportional to 1,170.80, 1,755.54 and 584.52

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Solution

The fourth proportional to 1,170.80, 1,755.54 and 584.52 is: 876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.80 : 1,755.54 = 584.52 : x
  2. Step 2: Convert to fraction form
    1,170.80/1,755.54 = 584.52/x
  3. Step 3: Cross multiply
    1,170.80x = 1,755.54 × 584.52
  4. Step 4: Simplify right side
    1,170.80x = 1,026,148.24
  5. Step 5: Solve for x
    x = 1,026,148.24/1,170.80
  6. Step 6: Final answer
    x = 876.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.